Some Intrinsic Characterizations of Besov–Triebel–Lizorkin–Morrey–Type Spaces on Lipschitz Domains

Yao, Liding

doi:10.1007/s00041-023-10001-x

J Fourier Anal Appl

2023

DOI: 10.1007/s00041-023-10001-x

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Some Intrinsic Characterizations of Besov–Triebel–Lizorkin–Morrey–Type Spaces on Lipschitz Domains

Liding Yao

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Cited by 3 publications

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New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications

Shi,

Yao

2023

Mathematische Nachrichten

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Given a bounded Lipschitz domain , Rychkov showed that there is a linear extension operator for Ω, which is bounded in Besov and Triebel‐Lizorkin spaces. In this paper, we introduce some new estimates for the extension operator and give some applications. We prove the equivalent norms for general Besov and Triebel‐Lizorkin spaces. We also derive some quantitative smoothing estimates of the extended function and all its derivatives on up to the boundary.

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New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications

Shi,

Yao

2023

Mathematische Nachrichten

Self Cite

View full text Add to dashboard Cite

show abstract

Oscillations and differences in Triebel–Lizorkin–Morrey spaces

Hovemann,

Weimar

2024

Rev Mat Complut

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Sobolev and Hölder estimates for homotopy operators of the ∂‾-equation on convex domains of finite multitype

Yao

2024

Journal of Mathematical Analysis and Applications

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Some Intrinsic Characterizations of Besov–Triebel–Lizorkin–Morrey–Type Spaces on Lipschitz Domains

Cited by 3 publications

References 20 publications

New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications

New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications

Oscillations and differences in Triebel–Lizorkin–Morrey spaces

Sobolev and Hölder estimates for homotopy operators of the ∂‾-equation on convex domains of finite multitype

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